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Finding the Fourth Proportional to 10,070.85, 15,090.87 and 4,224.27

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Solution

The fourth proportional to 10,070.85, 15,090.87 and 4,224.27 is: 6,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.85 : 15,090.87 = 4,224.27 : x
  2. Step 2: Convert to fraction form
    10,070.85/15,090.87 = 4,224.27/x
  3. Step 3: Cross multiply
    10,070.85x = 15,090.87 × 4,224.27
  4. Step 4: Simplify right side
    10,070.85x = 63,747,909.41
  5. Step 5: Solve for x
    x = 63,747,909.41/10,070.85
  6. Step 6: Final answer
    x = 6,329.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.